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Answer:
The value of a is -2
Step-by-step explanation:
We are asked to give the value of a
We are provided with some information
We are given slope to be 4
And two points ( -1 ,-1) and
( a, -5)
Given the formula for slope
m = y_2 - y_1 / x_2 - x_1
Points ( -1 , -1)
(a, -5)
x_1 = -1
y_1 = -1
x_2 = a
y_2 = -5
Inserting the values given into
m = y_2 - y_1 / x_2 - x_1
= -5 - (-1) / a - (-1)
= -5 + 1 / a + 1
= -4 / a + 1
We are given the slope to be 4
i. e. m = 4
4 = -4 / a + 1
Cross multiply
4( a + 1) = -4
Open the bracket with 4
4a + 4 = -4
Collect like terms
4a = -4 - 4
4a = - 8
Divide both sides by 4 to get the value of a
4a / 4 = -8/4
a = -2
Therefore, x_2 = -2
the value of a = -2
Answer:
Step-by-step explanation:
area including track=area of 2 semi circles+area of rectangle
=2×1/2×π×46²+86×65
=2116 π+5590
area of grass=2×1/2×π×40²+80×65=1600π+5200
≈10226.55 m²
area of track=2116π+5590-1600π-5200
=516π+390
≈2011.06 m²
Answer: A. y ≤ 4 and y > |x-1|
Step-by-step explanation:
y ≤ 4 is a horizontal line that is represented by a less than or equal to sign, so we know that the line has to be solid and not dotted, indicating that it includes the value of which the line passes through. Also, since it's less than, we know that it will include all values below the horizontal line.
y > |x-1| is an absolute value function that's represented by a greater than symbol, so that means it has to be dotted since it does not include |x-1|. Since it's greater than, it's going to include all values above the points of the function.
When graphing these two functions, you will get the graph as shown in the picture.
Hope this helps you
